Load Flow Analysis

Starting from Y-Bus, Bus voltage and injected current relationship deduce the basic load flow equations.

A three bus power system network in figure below. The bus admittance matrix (\(Y_{\text{Bus}}\)) of the system in per unit is:

[IMAGE: Figure from the original question paper (diagram referred to in the question); description to be added by admin.]

\(\displaystyle Y_{\text{Bus}} = \begin{bmatrix}4-j12 & -2+j6 & -2+j6 \\ -2+j6 & 4-j12 & -2+j6 \\ -2+j6 & -2+j6 & 4-j12\end{bmatrix}\)

The power and bus voltages in per unit are as follows;

Bus No.	PLoad	QLoad	PGen	QGen
1	0	0	?	?
2	0.7	0.5	0	0
3	0.6	0.3	0	0

The load flow analysis results are: \(V_1 = 1\angle 0^\circ\), \(V_2 = 0.92\angle -10^\circ\), \(V_3 = 0.95\angle\) [unclear] … [unclear] network real and reactive power losses. (Rest of this line is covered by a stamp in the scan.)

What do you mean by load flow studies and list down their applications in electric power system.